Distance between the points (1,2) and (3,4)

Distance between (1,2) and (3,4)

Here we will show you how to find the distance between the points (1,2) and (3,4) using a formula. In other words, you have the points (1,2) and (3,4) on a two-dimensional graph with an x-axis and a y-axis, and you want to find the distance between the two points.

We start by labeling and coloring the points (1,2) and (3,4) so it is easy to follow along:

(1,2) and (3,4) = (x₁,y₁) and (x₂,y₂)

x₁ = 1
y₁ = 2
x₂ = 3
y₂ = 4

Next, we will show you the formula you can use to calculate the distance between two points. The formula to calculate the distance (d) between two points, such as (1,2) and (3,4), is as follows:

d = √(x₁ - x₂)² + (y₁ - y₂)²

The next step is to enter our points into the formula. When we enter (1,2) and (3,4) into the formula, we get this:

d = √((1) - (3))² + ((2) - (4))²

All we need to do now is solve the equation above. Here is the math and the answer to the distance (d) between the points (1,2) and (3,4):

d = √((1) - (3))² + ((2) - (4))²

d = √(-2)² + (-2)²

d = √4 + 4

d = √8

d ≈ 2.8284

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